What is the Least Common Multiple of 18926 and 18938?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 18926 and 18938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18926 and 18938, than apply into the LCM equation.

GCF(18926,18938) = 2
LCM(18926,18938) = ( 18926 × 18938) / 2
LCM(18926,18938) = 358420588 / 2
LCM(18926,18938) = 179210294

Least Common Multiple (LCM) of 18926 and 18938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18926 and 18938. First we will calculate the prime factors of 18926 and 18938.

Prime Factorization of 18926

Prime Factorization of 18938

Now multiplying the highest exponent prime factors to calculate the LCM of 18926 and 18938.

LCM(18926,18938) = 2¹ × 9463¹ × 17¹ × 557¹
LCM(18926,18938) = 179210294